Question

19

A regression was run to determine if there is a relationship
between hours of TV watched per day (x) and number of situps a
person can do (y).

The results of the regression were:

y=ax+b a=-1.082 b=36.749 r^{2}=0.6889 r=-0.83

Use this to predict the number of situps a person who watches 7
hours of TV can do (to one decimal place)

18

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

xx |
11.4 | 8.5 | 6.8 | 3.4 | 2.7 | 2.3 | 2.6 | 0.4 |
---|---|---|---|---|---|---|---|---|

yy |
14 | 11.6 | 10 | 6.7 | 6.1 | 5.9 | 6.5 | 4.4 |

xx = thousands of automatic weapons

yy = murders per 100,000 residents

This data can be modeled by the equation y=0.89x+3.92.y=0.89x+3.92.
Use this equation to answer the following;

A) How many murders per 100,000 residents can be expected in a
state with 9.8 thousand automatic weapons?

Answer = Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a
state with 6.9 thousand automatic weapons?

Answer = Round to 3 decimal places.

17

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

xx |
11.4 | 8.4 | 6.6 | 3.5 | 2.7 | 2.4 | 2.4 | 0.7 |
---|---|---|---|---|---|---|---|---|

yy |
13.8 | 10.9 | 9.6 | 7.1 | 6.6 | 5.8 | 5.8 | 4.6 |

xx = thousands of automatic weapons

yy = murders per 100,000 residents

This data can be modeled by the equation y=0.85x+3.97.y=0.85x+3.97.
Use this equation to answer the following;

Special Note: I suggest you verify this equation by performing
linear regression on your calculator.

A) How many murders per 100,000 residents can be expected in a
state with 3.6 thousand automatic weapons?

Answer = Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a
state with 2.2 thousand automatic weapons?

Answer = Round to 3 decimal places

Answer #1

1. A regression analysis was performed to determine if there is
a relationship between hours of TV watched per day (xx) and number
of sit ups a person can do (yy). The results of the regression
were:
y=ax+b
a=-1.072
b=31.456
r2=0.859329
r=-0.927
Use this to predict the number of sit ups a person who watches 8
hours of TV can do, and please round your answer to a whole
number.
2.
The table below shows the number of state-registered automatic...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern
states.
xx
11.5
8.4
6.9
3.9
2.9
2.8
2.6
0.9
yy
14.1
10.9
10.1
7.5
6.4
6.6
6.1
5
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the linear equation
ˆy=0.86x+4.07y^=0.86x+4.07
How many murders per 100,000 residents can be expected in a
state with 9.2 thousand automatic weapons? Round to 3 decimal
places....

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states.
xx
11.7
8.4
6.6
3.3
2.9
2.5
2.5
0.3
yy
13.9
11.5
9.5
6.8
6.2
6
6.1
4.1
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the equation y=0.87x+3.84.y=0.87x+3.84.
Use this equation to answer the following;
Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
Use...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states.
xx
11.5
8.4
7
3.9
2.7
2.6
2.3
0.7
yy
14.1
11.4
10.1
7.5
6.4
6
6.1
4.5
xx = thousands of automatic weapons
yy = murders per 100,000 residents
The equation y=3.93+0.89xy=3.93+0.89x can model this data. Use this
equation to answer the following;
Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
A) How many...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states.
x
11.6
8
6.7
3.7
2.6
2.6
2.3
0.5
y
14.1
10.6
9.7
7
6.4
6.1
6
4.5
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.86x+3.98. Use this
equation to answer the following;
Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
A)...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states.
x
11.3
8.4
7.1
3.6
2.5
2.7
2.4
0.4
y
13.4
10.9
9.9
7.1
5.9
6
6
4.2
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.84x+3.88. Use this
equation to answer the following;
A) How many murders per 100,000 residents can be expected in a
state with 3.9 thousand...

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern states. x 11.3
8.2 6.7 3.6 2.5 2.6 2.2 0.3 y 13.7 10.8 9.8 6.8 5.9 5.9 6.1 4.2 x =
thousands of automatic weapons y = murders per 100,000 residents
Determine the regression equation in y = ax + b form and write it
below. (Round to 2 decimal places) Incorrect A) How many murders
per 100,000 residents can be expected in...

A regression was run to determine if there is a relationship
between hours of TV watched per day (x) and number of situps a
person can do (y).
The results of the regression were:
y=ax+b
a=-1.276
b=24.302
r2=0.779689
r=-0.883
Use this to predict the number of situps a person who watches 3
hours of TV can do (to one decimal place)

A regression was run to determine if there is a relationship
between hours of TV watched per day (x) and number of situps a
person can do (y).
The results of the regression were:
y=ax+b
a=-0.623
b=37.26
r2=0.386884
r=-0.622
Use this to predict the number of situps a person who watches 11.5
hours of TV can do (to one decimal place)

A regression was run to determine if there is a relationship
between the happiness index (y) and life expectancy in years of a
given country (x).
The results of the regression were:
y=a+bx
a=-1.921
b=0.058
r2=0.753424
r=0.868
(a) Write the equation of the Least Squares Regression line of the
form
y= + x
(b) If a country increases its life expectancy, the happiness index
will
increase
decrease
(c) If the life expectancy is increased by 3 years in a certain...

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